Search Results for "a-passion-for-mathematics"

A Passion for Mathematics

A Passion for Mathematics

Numbers, Puzzles, Madness, Religion, and the Quest for Reality

  • Author: Clifford A. Pickover
  • Publisher: John Wiley & Sons
  • ISBN: 9781118046074
  • Category: Mathematics
  • Page: 408
  • View: 3706
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A Passion for Mathematics is an educational, entertaining trip through the curiosities of the math world, blending an eclectic mix of history, biography, philosophy, number theory, geometry, probability, huge numbers, and mind-bending problems into a delightfully compelling collection that is sure to please math buffs, students, and experienced mathematicians alike. In each chapter, Clifford Pickover provides factoids, anecdotes, definitions, quotations, and captivating challenges that range from fun, quirky puzzles to insanely difficult problems. Readers will encounter mad mathematicians, strange number sequences, obstinate numbers, curious constants, magic squares, fractal geese, monkeys typing Hamlet, infinity, and much, much more. A Passion for Mathematics will feed readers’ fascination while giving them problem-solving skills a great workout!

A Passion for Mathematics: Numbers, Puzzles, Madness, Religion, and the Quest for Reality

A Passion for Mathematics: Numbers, Puzzles, Madness, Religion, and the Quest for Reality

  • Author: Clifford A. Pickover
  • Publisher: Turtleback Books
  • ISBN: 9781417760862
  • Category: Mathematics
  • Page: 394
  • View: 6025
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The Number Sense : How the Mind Creates Mathematics

The Number Sense : How the Mind Creates Mathematics

How the Mind Creates Mathematics

  • Author: Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale
  • Publisher: Oxford University Press, USA
  • ISBN: 0199723095
  • Category: Mathematics
  • Page: 288
  • View: 7578
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Our understanding of how the human brain performs mathematical calculations is far from complete. But in recent years there have been many exciting scientific discoveries, some aided by new imaging techniques--which allow us for the first time to watch the living mind at work--and others by ingenious experiments conducted by researchers all over the world. There are still perplexing mysteries--how, for instance, do idiot savants perform almost miraculous mathematical feats?--but the picture is growing steadily clearer. In The Number Sense, Stanislas Dehaene offers general readers a first look at these recent stunning discoveries, in an enlightening exploration of the mathematical mind. Dehaene, a mathematician turned cognitive neuropsychologist, begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and he describes ingenious experiments that show that human infants also have a rudimentary number sense (American scientist Karen Wynn, for instance, using just a few Mickey Mouse toys and a small puppet theater, proved that five-month-old infants already have the ability to add and subtract). Further, Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. But how then did the brain leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics, and in a marvelous chapter he traces the history of numbers, from early times when people indicated a number by pointing to a part of their body (even today, in many societies in New Guinea, the word for six is "wrist"), to early abstract numbers such as Roman numerals (chosen for the ease with which they could be carved into wooden sticks), to modern numbers. On our way, we also discover many fascinating facts: for example, because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. Dehaene also explores the unique abilities of idiot savants and mathematical geniuses, asking what might explain their special mathematical talent. And we meet people whose minute brain lesions render their mathematical ability useless--one man, in fact, who is certain that two and two is three. Using modern imaging techniques (PET scans and MRI), Dehaene reveals exactly where in the brain numerical calculation takes place. But perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in mathematics or the mind. Dehaene argues, for instance, that many of the difficulties that children face when learning math, and which may turn into a full-blown adult "innumeracy," stem from the architecture of our primate brain, which has not evolved for the purpose of doing mathematics. He also shows why the human brain does not work like a computer, and that the physical world is not based on mathematics--rather, mathematics evolved to explain the physical world the way that the eye evolved to provide sight. A truly fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind.

A Passion for Truth

A Passion for Truth

Reflections of a Scientist-Priest

  • Author: John Huntington
  • Publisher: Page Publishing Inc
  • ISBN: 1643500791
  • Category: Fiction
  • Page: 148
  • View: 2671
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A Passion for Truth is an intimate account of John Huntington’s interior life as a physical scientist and as a priest. In mid-career as a scientist he experienced a sudden and undeniable call to the priesthood. It became imperative to work to reconcile his two vocations within a single worldview. This plunged him into an intense reflection on the authority of physical science and the trustworthiness of religious experience. He could not turn away from the question. This book is the result. The author uncovered a number of fallacies embedded in our Western culture that serve to impede spiritual formation and to discourage the faithful. At the root of them all is the idea that it is acceptable to be careless with the truth. In liberal academic circles this is called postmodernism; in theology it is called relativism; in physical science it is called scientism. He concluded that, if striving for clear thinking is our loving response to our Creator who endowed us with intellect, then loose thinking, permissive thinking, untruth, relativism, could not be from God. It cannot be condoned. Huntington wants to awaken in us a passion for truth, and in doing so he wants to comfort us and bring us hope.

A Passion for Discovery

A Passion for Discovery

  • Author: Peter G O Freund
  • Publisher: World Scientific
  • ISBN: 9814338265
  • Category:
  • Page: 240
  • View: 6155
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This fascinating book assembles human stories about physicists and mathematicians. Remarkably, these stories cluster around some general themes having to do with the interaction between scientists, and with the impact of historic events ? such as the advent of fascism and communism in the twentieth century ? on scientists' behavior. Briefly, but lucidly, some of the beautiful science that brought these scientists together in the first place is explained. Author's webpage: http: //freund9.googlepages.com/peterfreundwritings.Contents: Einstein Once RemovedThe Conscience of PhysicsThe Language of GodOswald Teichmller and Nazi ScienceScientists in PoliticsJews in Science. The BacklashStalin and the QuantumOppenheimer, Hero or Antihero?On and Off the Map: Romanian MathematicsA Brief History of Spaceas well as chapters on Richard Feynman, E C G Stueckelberg, Emmy Noether, Andrei Sakharov, and others Readership: Primarily general readers, and particularly theoretical physicists, mathematicians and high energy experimental physicists.

A Passion for Discovery

A Passion for Discovery

  • Author: Peter Freund
  • Publisher: World Scientific
  • ISBN: 9812772154
  • Category: Electronic books
  • Page: 221
  • View: 6543
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This fascinating book assembles human stories about physicists and mathematicians. Remarkably, these stories cluster around some general themes having to do with the interaction between scientists, and with the impact of historic events OCo such as the advent of fascism and communism in the twentieth century OCo on scientists'' behavior. Briefly, but lucidly, some of the beautiful science that brought these scientists together in the first place is explained.Author''s webpage: http: //freund9.googlepages.com/peterfreundwritings."

Parallel Curriculum Units for Mathematics, Grades 6–12

Parallel Curriculum Units for Mathematics, Grades 6–12

  • Author: Jann H. Leppien,Jeanne H. Purcell
  • Publisher: Corwin Press
  • ISBN: 1452223246
  • Category: Education
  • Page: 152
  • View: 9956
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Maximize your mathematics curriculum to challenge all students This collection of lessons from experienced teachers provides multifaceted examples of rigorous learning opportunities for mathematics students in Grades 6–12. The four sample units focus on fractions, linear programming, geometry, and quadratic relationships. The authors provide user-friendly methods for instruction and demonstrate how to differentiate the lessons for the benefit of all students. Included are standards-based strategies that guide students through: Understanding secondary mathematics concepts Discovering connections between mathematics and other subjects Developing critical thinking skills Connecting mathematics learning to society through the study of real-world data, proportional reasoning, and problem solving

777 Mathematical Conversation Starters

777 Mathematical Conversation Starters

  • Author: John de Pillis
  • Publisher: MAA
  • ISBN: 9780883855409
  • Category: Mathematics
  • Page: 344
  • View: 6632
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Illustrated book showing that there are few degrees of separation between mathematics and topics that provoke interesting conversations.

A Decade of the Berkeley Math Circle

A Decade of the Berkeley Math Circle

The American Experience, Volume II

  • Author: Zvezdelina Stankova, Tom Rike
  • Publisher: American Mathematical Soc.
  • ISBN: 0821849123
  • Category: Mathematics
  • Page: 376
  • View: 770
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Many mathematicians have been drawn to mathematics through their experience with math circles. The Berkeley Math Circle (BMC) started in 1998 as one of the very first math circles in the U.S. Over the last decade and a half, 100 instructors--university professors, business tycoons, high school teachers, and more--have shared their passion for mathematics by delivering over 800 BMC sessions on the UC Berkeley campus every week during the school year. This second volume of the book series is based on a dozen of these sessions, encompassing a variety of enticing and stimulating mathematical topics, some new and some continuing from Volume I: from dismantling Rubik's Cube and randomly putting it back together to solving it with the power of group theory;from raising knot-eating machines and letting Alexander the Great cut the Gordian Knot to breaking through knot theory via the Jones polynomial;from entering a seemingly hopeless infinite raffle to becoming friendly with multiplicative functions in the land of Dirichlet, Möbius, and Euler;from leading an army of jumping fleas in an old problem from the International Mathematical Olympiads to improving our own essay-writing strategies;from searching for optimal paths on a hot summer day to questioning whether Archimedes was on his way to discovering trigonometry 2000 years ago Do some of these scenarios sound bizarre, having never before been associated with mathematics? Mathematicians love having fun while doing serious mathematics and that love is what this book intends to share with the reader. Whether at a beginner, an intermediate, or an advanced level, anyone can find a place here to be provoked to think deeply and to be inspired to create. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Sophie's Diary: A Mathematical Novel

Sophie's Diary: A Mathematical Novel

  • Author: Dora Musielak
  • Publisher: MAA
  • ISBN: 0883855771
  • Category: Fiction
  • Page: 292
  • View: 2926
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Sophie Germain, the first and only woman in history to make a substantial contribution to the proof of Fermat's Last Theorem, grew up during the most turbulent years of the French Revolution. Her mathematical genius was discovered by Lagrange around 1797. Published research about Germain focuses on her achievements, noting that she assumed a man's name at the École Polytechnique in Paris, to submit her own work to Lagrange. Yet, no biography has explained how Germain learned mathematics before that time to become so sure of her analytical skills to carry out such a daring act. Sophie's Diary is an attempt to answer this question: How did Germain learn enough mathematics to enter the world of Lagrange's analysis in the first place? In Sophie's Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with history of mathematics plus historically-accurate accounts of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own—both fascinated by numbers and eager to master tough subjects without a tutor's guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage. Sophie's Diary is suitable for a variety of readers?both students and teachers, mathematicians and novices?who will be inspired and enlightened on a field of study made easy as is told through the intellectual and personal struggles of an exceptional young woman.